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Finding the Fourth Proportional to 681.34, 940.08 and 432.57

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Solution

The fourth proportional to 681.34, 940.08 and 432.57 is: 596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.34 : 940.08 = 432.57 : x
  2. Step 2: Convert to fraction form
    681.34/940.08 = 432.57/x
  3. Step 3: Cross multiply
    681.34x = 940.08 × 432.57
  4. Step 4: Simplify right side
    681.34x = 406,650.41
  5. Step 5: Solve for x
    x = 406,650.41/681.34
  6. Step 6: Final answer
    x = 596.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.